Selected quad for the lemma: money_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
money_n example_n penny_n pound_n 2,118 5 10.4954 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A88112 Arithmetick: vulgar, decimal, instrumental, algebraical. In four parts: conteining I Vulgar arithmetick, both in whole numbers and fractions, in a most plain and easie method. II Decimal arithmetick, with the ground and reason thereof, illustrated by divers examples. III Instrumental arithmetick, exactly performing all questions of what nature soever in a decimal way, by scales, with much more ease and facility then can be effected, either by vulgar or decimal arithmetick, the work of reduction being wholly avoided. Nothing in this kind having been hitherto published by any. IV Algebraical arithmetick, conteining an abridgement of the precepts of that art, and the use thereof, illustrated by examples and questions of divers kinds. Whereunto is added the construction and use of several tables of interest and annuities, weights and measures, both of our own and other countries. / By William Leybourn. Leybourn, William, 1626-1716.; Billy, Jacques de, 1602-1679. 1660 (1660) Wing L1893; Thomason E1755_1; ESTC R209688 136,634 402

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only_o certain_a row_n of_o figure_n set_v together_o and_o orderly_o dispose_v have_v the_o signification_n or_o read_n of_o the_o same_o number_n in_o word_n at_o length_n to_o they_o annex_v and_o be_v only_o insert_v for_o the_o better_a satisfaction_n of_o such_o as_o shall_v doubt_v whether_o they_o perfect_o understand_v what_o have_v be_v before_o teach_v the_o four_o table_n be_v much_o like_o the_o second_o only_o it_o consist_v but_o of_o one_o number_n and_o extend_v three_o place_n far_o than_o the_o great_a number_n in_o the_o second_o table_n do_v viz._n to_o twelve_o place_n which_o figure_n be_v thus_o to_o be_v read_v 736_o million_o of_o million_o 842_o million_o 708_o thousand_o 645._o 1_o table_n one_o in_o the_o first_o place_n signify_v 1_o one_o one_o in_o the_o second_o place_n signify_v 10_o ten_o one_o in_o the_o three_o place_n signify_v 100_o a_o hundred_o one_o in_o the_o four_o place_n signify_v 1000_o a_o thousand_o one_o in_o the_o five_o place_n 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to_o stand_v against_o 500_o in_o the_o scale_n of_o 1000_o which_o 500_o may_v be_v call_v 5_o only_o for_o the_o two_o cipher_n may_v be_v omit_v then_o set_v down_o your_o 24_o l._n and_o for_o your_o 7_o set_v down_o 3_o decade_n which_o be_v 6_o s._n and_o look_v in_o your_o scale_n for_o the_o decimal_n of_o 1_o s._n 9_o d._n which_o you_o shall_v find_v to_o be_v 875_o last_o set_v down_o your_o 183_o ell_n and_o for_o your_o half_a ell_n set_v down_o 5_o as_o before_o so_o will_v your_o number_n stand_v thus_o your_o number_n thus_o take_v out_o of_o your_o scale_n and_o place_v as_o here_o you_o see_v if_o you_o multiply_v the_o second_o and_o three_o together_o you_o shall_v find_v the_o product_n of_o that_o multiplication_n to_o be_v 4475.10625_o which_o divide_v by_o the_o first_o number_n 37.5_o give_v in_o the_o quotient_a 119.3361_o which_o be_v 119_o pound_n 3_o decade_n or_o 6_o shilling_n and_o 361_o which_o reduce_v by_o the_o scale_n give_v 8_o penny_n 2_o 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114_o li._n 11_o s._n which_o be_v c_o share_n bye_o answer_v 948._o your_o number_n be_v take_v out_o of_o your_o scale_n proceed_v as_o follow_v first_o for_o a._n second_o for_o b._n three_o for_o c._n the_o manner_n of_o work_n 1_o for_o a_o multiply_v 203_o l._n which_o be_v a_o share_n by_o 4000_o which_o be_v the_o number_n of_o sheep_n buy_v and_o the_o product_n be_v 812000_o which_o number_n shall_v be_v divide_v by_o 483.3333_o but_o be_v it_o be_v great_a than_o 812000_o i_o therefore_o add_v four_o cipher_n thereto_o that_o i_o may_v have_v four_o figure_n in_o the_o quotient_a and_o it_o make_v 8120000000_o which_o divide_v by_o 483.3333_o give_v in_o the_o quotient_a 1680_o and_o so_o many_o sheep_n belong_v to_o a._n 2_o for_o b_o multiply_v 165.7833_o which_o be_v the_o decimal_n of_o b_o share_n by_o 4000_o the_o number_n of_o sheep_n buy_v and_o it_o produce_v 6631332000_o which_o divide_v by_o 483.3333_o give_v in_o the_o quotient_a 1372_o and_o so_o many_o sheep_n belong_v to_o b._n 3_o for_o c_o multiply_v 114.55_o which_o be_v the_o deeimal_n of_o c_o share_n by_o 4000_o the_o number_n of_o sheep_n buy_v it_o produce_v 45820000_o which_o number_n shall_v be_v divide_v by_o 483.3333_o but_o be_v it_o be_v not_o large_a enough_o to_o give_v figure_n enough_o in_o the_o quotient_a i_o therefore_o add_v two_o cipher_n make_v it_o 4582000000_o which_o divide_v by_o 483.3333_o give_v in_o the_o quotient_a 948_o and_o so_o many_o sheep_n ought_v cto_n have_v now_o for_o proof_n a_o 1680_o b_o 1372_o c_z 948_o  _fw-fr 4000_o if_o you_o add_v the_o number_n of_o sheep_n that_o a_o b_o and_o c_o shall_v several_o have_v you_o shall_v find_v they_o in_o all_o to_o make_v 4000_o which_o demonstrate_v the_o work_n to_o be_v true_a example_n in_o loss_n and_o grain_n if_o one_o yard_n of_o stuffe_n cost_v 6_o s._n 8_o d._n and_o i_o sell_v the_o same_o again_o for_o 8_o s._n 6_o d._n what_o shall_v i_o gain_v in_o lay_v out_o 100_o l._n upon_o such_o commodity_n take_v the_o difference_n between_o the_o price_n that_o your_o commodity_n cost_n and_o the_o price_n for_o which_o you_o sell_v it_o that_o be_v in_o this_o example_n the_o difference_n between_o 6_o s._n 8_o d._n and_o 8_o s._n 6_o d._n which_o be_v 1_o s._n 10_o do_v then_o say_v by_o the_o rule_n of_o three_o direct_v if_o 6_o s._n 8_o d._n gain_n 1_o s._n 10_o d._n what_o will_v 100_o li._n gain_n if_o you_o place_v your_o number_n according_a to_o the_o rule_n of_o three_o
pound_n shilling_n and_o penny_n etc._n etc._n but_o this_o as_o the_o most_o certain_a and_o easy_a i_o embrace_v and_o thus_o much_o for_o addition_n and_o the_o proof_n thereof_o subtraction_n subtrrction_n be_v the_o take_n of_o one_o or_o more_o small_a sum_n out_o of_o a_o great_a as_o 7_o s._n out_o of_o 12_o s._n or_o 37_o li._n out_o of_o 100_o li._n or_o 137_o foot_n out_o of_o 983_o foot_n and_o the_o like_a as_o in_o addition_n the_o sum_n to_o be_v add_v may_v be_v either_o of_o one_o or_o of_o diverse_a denmination_n so_o likewise_o they_o may_v be_v in_o subtraction_n and_o the_o manner_n of_o place_v they_o be_v the_o same_o for_o you_o must_v set_v unite_v under_o unite_v ten_o under_o ten_o hundred_o under_o hundred_o etc._n etc._n example_n 1_o number_n give_v 986_o number_n to_o be_v subtract_v 234_o remainder_n 752_o of_o subtraction_n of_o number_n of_o one_o denomination_n let_v it_o be_v require_v to_o subtract_v 234_o out_o of_o 986_o place_n the_o number_n one_o unde_fw-la the_o other_o as_o you_o see_v do_v in_o the_o margin_n draw_v a_o line_n under_o they_o and_o begin_v with_o the_o first_o figure_n towards_o your_o right_a hand_n which_o be_v 4_o say_v take_v 4_o from_o 6_o and_o there_o remain_v 2_o place_z 2_o under_o the_o line_n and_o go_v to_o the_o next_o figure_n which_o be_v 3_o say_v take_v 3_o from_o 8_o and_o there_o remain_v 5_o place_z 5_o under_o the_o line_n and_o go_v to_o the_o next_o figure_n which_o be_v 2_o say_v take_v 2_o out_o of_o 9_o and_o there_o remain_v 7_o place_z 7_o under_o the_o line_n and_o your_o subtraction_n be_v end_v and_o it_o be_v evident_a by_o the_o work_n that_o if_o you_o take_v 234_o out_o of_o 986_o there_o will_v remain_v 75●_n which_o you_o may_v thus_o prove_v for_o if_o you_o add_v the_o 234_o to_o 752_o you_o shall_v find_v the_o sum_n of_o that_o addition_n to_o be_v 986_o which_o be_v equal_a to_o the_o whole_a sum_n from_o which_o 234_o be_v subtract_v example_n 2._o 96527_o 2976_o 9355r_n let_v it_o be_v require_v to_o subtact_v 2976_o out_o of_o 96527_o place_n the_o number_n one_o under_o another_o as_o in_o the_o margin_n you_o fee_v do_v then_o draw_v a_o line_n under_o they_o and_o beginning_n with_o the_o first_o figure_n towards_o your_o left_a hand_n say_v take_v 6_o out_o of_o 7_o and_o there_o remain_v 1_o place_z 1_o under_o the_o line_n and_o prodeed_o to_o the_o next_o figure_n say_v 7_o out_o of_o 2_o i_o can_v not_o wherefore_o you_o must_v always_o add_v 10_o to_o the_o number_n above_o which_o in_o this_o example_n be_v 2_o and_o it_o make_v it_o 12_o therefore_o take_v 7_o out_o of_o 12_o and_o there_o remain_v 5_o place_z 5_o under_o the_o line_n and_o because_o you_o add_v 10_o to_o the_o 2_o to_o make_v it_o 12_o you_o must_v carry_v a_o unite_v to_o the_o next_o figure_n say_v one_o which_o i_o carry_v and_o 9_o be_v 10_o take_v ten_o out_o of_o 5_o which_o i_o can_v therefore_o i_o must_v add_v 10_o to_o 5_o and_o it_o make_v 15_o and_o say_v 10_o out_o of_o 15_o and_o there_o remain_v 5_o place_z 5_o under_o the_o line_n and_o because_o you_o add_v 10_o to_o 5_o to_o make_v it_o 15_o you_o must_v therefore_o carry_v a_o unite_v to_o the_o next_o figure_n say_v one_o which_o i_o carry_v and_o 2_o be_v 3_o take_z 3_o out_o of_o 6_o and_o there_o remain_v 3_o place_z 3_o under_o the_o line_n and_o because_o there_o be_v no_o more_o figure_n to_o be_v subtract_v from_o the_o number_n above_o you_o must_v say_v nothing_o from_o 9_o and_o there_o remain_v 9_o set_z the_o 9_o under_o the_o line_n and_o your_o subtraction_n be_v end_v other_o example_n for_o practice_n  _fw-fr li._n ream_n of_o paper_n sheep_n  _fw-fr lent_n 5762_o buy_v 9765_o from_o 1000_o paid_n 378_o sell_v 6529_o take_v 394_o rest_n to_o pay_v 5384_o unsold_a 3236_o remain_v 606_o subtraction_n of_o number_n of_o diverse_a denomination_n 1_o of_o english_a money_n in_o subtraction_n of_o number_n of_o diverse_a denomination_n you_o must_v observe_v the_o same_o order_n as_o in_o addition_n namely_o to_o place_v every_o number_n in_o due_a order_n with_o respect_n to_o its_o denomination_n as_o pound_n under_o pound_n shilling_n under_o shilling_n etc._n etc._n the_o great_a number_n always_o uppermost_a and_o draw_v a_o line_n under_o they_o begin_v with_o the_o least_o denomination_n first_o subtract_v it_o from_o the_o line_n above_o and_o set_v the_o remainder_n under_o the_o line_n as_o in_o whole_a number_n but_o if_o the_o penny_n or_o shilling_n in_o the_o upper_a row_n be_v small_a than_o those_o in_o the_o nether_a row_n you_o must_v add_v 12_o d._n or_o 20_o s._n to_o the_o small_a number_n that_o so_o subtraction_n may_v be_v make_v as_o by_o the_o example_n follow_v will_v appear_v example_n 1._o  _fw-fr li._n s._n d._n lent_n 269_o 18_o 10_o pay_v 38_o 12_o 8_o rest_n 231_o 6_o 2_o let_v it_o be_v require_v to_o subtract_v 38_o li._n 12_o s._n 8_o d._n out_o of_o 269_o l._n 18_o s._n 10_o d._n place_v your_o number_n as_o in_o the_o margin_n then_o begin_v with_o the_o least_o denomination_n first_o which_o in_o this_o example_n be_v penny_n say_v 8_o d._n from_o 10_o d._n and_o there_o remain_v 2_o d._n set_v the_o 2_o d._n under_o the_o line_n and_o proceed_v to_o the_o next_o denomination_n which_o be_v shilling_n say_v take_v 12_o s._n out_o of_o 18_o s._n and_o there_o remain_v 6_o s._n place_n 6_o s_o under_o the_o line_n and_o go_v to_o the_o pound_n say_v 8_o out_o of_o 9_o and_o there_o remain_v 1_o place_z 1_o under_o the_o line_n and_o say_v 3_o out_o of_o 6_o and_o there_o remain_v 3_o than_o because_o there_o be_v no_o more_o figure_n to_o be_v subtract_v say_v nothing_o out_o of_o 2_o and_o there_o remain_v 2_o which_o set_v under_o the_o line_n so_o be_v your_o subtraction_n end_v and_o the_o remainder_n be_v 231_o li._n 6_o s._n 2_o d._n example_n 2._o  _fw-fr li._n s._n p._n lent_n 9320_o 10_o 07_o pay_v 2628_o 16_o 10_o rest_n 6691_o 11_o 8_o let_v it_o be_v require_v to_o subtract_v 2628_o li._n 16_o s._n 10_o d._n out_o of_o 9320_o li._n 10_o s._n 7_o d._n place_n the_o number_n in_o order_n and_o beginning_n with_o the_o penny_n say_v 10_o d._n out_o of_o 7_o d._n i_o can_v therefore_o i_o must_v add_v 12_o d._n which_o be_v one_o shilling_n to_o 7_o d._n and_o it_o make_v 19_o d._n but_o 10_o d._n out_o of_o 19_o d._n and_o there_o remain_v 9_o d._n set_v the_o 9_o d._n under_o the_o line_n and_o because_o i_o add_v 12_o d._n to_o 7_o d._n i_o must_v therefore_o carry_v one_o to_o the_o place_n of_o shilling_n say_v 1_o s._n which_o i_o carry_v and_o 16_o s._n be_v 17._o then_o 17_o s._n from_o 10_o s._n i_o can_v take_v therefore_o i_o must_v add_v 20_o s._n which_o be_v one_o pound_n to_o 10_o s._n and_o it_o make_v 30_o s._n and_o 17_o s._n out_o of_o 30_o s._n and_o there_o remain_v 13_o set_z 13_o under_o the_o line_n and_o carry_v one_o to_o the_o place_n of_o pound_n say_v one_o which_o i_o carry_v and_o 8_o be_v 9_o take_z 9_o of_o o_o i_o can_v but_o 9_o out_o of_o 10_o and_o there_o remain_v 1_o set_z 1_o under_o the_o line_n and_o carry_v a_o unite_v to_o the_o next_o place_n say_v 1_o which_o i_o carry_v and_o 2_o be_v 3_o take_z 3_o out_o of_o 2_o i_o can_v but_o 3_o out_o of_o 12_o and_o there_o remain_v 9_o place_z 9_o under_o the_o line_n and_o carry_v 1_o to_o the_o next_o place_n say_v 1_o which_o i_o carry_v and_o 6_o be_v 7_o take_z 7_o out_z of_o 3_o i_o can_v but_o 7_o out_o of_o 13_o and_o there_o remain_v 6_o place_z 6_o under_o the_o line_n and_o carry_v one_o to_o the_o next_o row_n say_v 1_o and_o 2_o be_v 3_o take_z 3_o from_o 9_o and_o there_o remain_v 6_o place_z 6_o under_o the_o line_n so_o be_v your_o subtraction_n end_v and_o the_o remainder_n be_v 6691_o li._n 13_o s._n 9_o d._n example_n 3._o suppose_v a_o man_n have_v lend_v to_o another_o man_n 1000_o pound_n and_o that_o the_o borrower_n have_v pay_v thereof_o at_o one_o time_n 127_o li._n at_o another_o time_n 430_o li._n 10_o s._n and_o at_o a_o three_o payment_n 50_o li._n and_o the_o creditor_n will_v know_v how_o much_o he_o have_v receive_v and_o how_o much_o be_v owe_v of_o his_o debtor_n place_v the_o number_n as_o here_o you_o see_v  _fw-fr li._n s._n d._n money_n lend_v 1000_o 00_o 00_o  _fw-fr 127_o 00_o 00_o pay_v at_o several_a time_n 430_o 10_o 00_o  _fw-fr 50_o 00_o 00_o pay_v in_o all_o 607_o 10_o 00_o rest_n to_o pay_v 392_o 10_o 00_o
which_o if_o it_o be_v money_n and_o the_o unite_v 1_o l._n it_o be_v then_o 3_o l._n 1_o s._n and_o 10_o d._n as_o may_v be_v try_v thus_o first_o ⅔_n of_o a_o pound_n be_v 13_o s._n and_o 4_o d._n and_o ¾_n be_v 15_o s._n and_o ⅘_n be_v 16_o s._n last_o ⅞_n be_v 17_o s._n 6_o d._n these_o all_o add_v together_o the_o sum_n if_o 3_o l._n 1_o s._n 10_o d._n subtraction_n in_o subtraction_n of_o one_o fraction_n from_o another_o if_o they_o be_v both_o of_o one_o denomination_n it_o be_v do_v by_o take_v the_o numerator_n of_o one_o from_o the_o numerator_n of_o the_o other_o the_o remain_n be_v the_o new_a numerator_n and_o the_o denominator_fw-la the_o same_o as_o before_o so_o if_o 2_o 9_o be_v subtract_v from_o 8_o 9_o the_o remain_n be_v 6_o 9_o the_o like_a of_o all_o other_o but_o if_o they_o be_v not_o of_o one_o denomination_n they_o must_v first_o be_v reduce_v to_o be_v so_o then_o that_o which_o be_v say_v before_o be_v sufficient_a the_o golden_a rule_n in_o fraction_n be_v the_o same_o as_o in_o whole_a number_n i_o will_v give_v you_o but_o one_o instance_n if_o ¾_n of_o a_o yard_n of_o tape_n cost_v ½_n of_o a_o penny_n what_o shall_v one_o inch_n that_o be_v 1_o 36_o of_o a_o yard_n cost_n multiply_v the_o second_o by_o the_o three_o the_o product_n be_v 1_o 72_o which_o divide_v by_o ¾_n the_o quotient_n be_v 4_o 216_o of_o a_o penny_n for_o the_o price_n of_o 1_o 36_o of_o a_o yard_n otherwise_o see_v ¾_n of_o a_o yard_n may_v be_v turn_v to_o 27_o inch_n say_v if_o 27_o cost_n ½_n what_o 1_o divide_v ½_n by_o 27_o it_o make_v 1_o 54_o for_o the_o answer_n which_o be_v equal_a to_o 4_o 216_o and_o in_o the_o least_o term_n and_o wheresoever_o this_o may_v be_v do_v to_o have_v the_o first_o and_o three_o number_n fraction_n of_o one_o denomination_n the_o best_a way_n be_v to_o work_v with_o their_o numerator_n not_o regard_v their_o denominator_fw-la at_o all_o as_o if_o ⅔_n cost_v ¾_n what_o 7_o 3_o instead_o thereof_o write_v if_o 2_o cost_n ¾_n what_o 7_o multiply_v ¾_n by_o 7_o it_o produce_v 21_o 4_o which_o divide_v by_o 2_o the_o quotient_n be_v 21_o 8_o and_o that_o be_v the_o answer_n in_o the_o least_o term_n and_o all_o this_o while_o it_o shall_v have_v be_v note_v that_o the_o fraction_n be_v ever_o write_v in_o a_o small_a figure_n than_o the_o whole_a number_n the_o rule_n of_o fellowship_n this_o rule_n be_v useful_a for_o merchant_n and_o all_o such_o as_o trade_n in_o company_n with_o a_o joint_a stock_n and_o must_v share_v a_o proportional_a part_n of_o the_o gain_n or_o loss_n every_o one_o according_a to_o his_o stock_n which_o he_o lay_v in_o the_o rule_n be_v twofold_a with_o equal_a time_n or_o with_o unequal_a time_n that_o which_o be_v with_o equal_a time_n be_v common_o call_v the_o rule_n of_o fellowship_n without_o time_n of_o this_o we_o will_v first_o speak_v the_o rule_n as_o the_o whole_a joint_a stock_n be_v to_o all_o the_o gain_n or_o loss_n so_o be_v each_o man_n particular_a stock_n to_o his_o part_n of_o the_o gain_n or_o loss_n example_n 1._o two_o merchant_n a._n and_o b._n buy_v 700_o l._n a_o year_n land_n for_o ever_o when_o money_n be_v at_o 8_o per_fw-la cent_n for_o 14000_o l._n of_o which_o a._n pay_v 8000_o l._n and_o b._n 6000_o l._n after_o 5_o year_n money_n be_v fall_v to_o 6_o per_fw-la cent._n they_o sell_v it_o for_o 18700_o l._n so_o there_o be_v gain_v 4700_o l._n how_o much_o of_o this_o must_v a._n have_v first_o for_o a._n say_v if_o 14000_o gain_n 4700_o what_o 8000_o answer_v 2685_o 10000_o 14000._o then_o for_o b._n if_o 14000_o gain_v 4700_o what_o 6000_o answer_v 2014_o 4000_o 14000._o as_o by_o the_o follow_a operation_n do_v appear_v ay_o for_o a._n two_o for_o b._n here_o note_n that_o this_o work_n may_v have_v be_v much_o abreviate_v if_o from_o each_o of_o the_o three_o number_n you_o have_v cut_v off_o two_o cipher_n towards_o the_o right_a hand_n as_o have_v be_v former_o show_v in_o the_o compendium_n of_o multiplication_n and_o division_n now_o for_o the_o proof_n hereof_o if_o you_o add_v 2685_o 10000_o 14000._o which_o be_v the_o sum_n that_o a._n gain_v  _fw-fr  _fw-fr to_n 2014_o 4000_o 14000._o  _fw-fr the_o sum_n of_o they_o be_v 4700._o which_o be_v equal_a to_o the_o total_a gain_n and_o according_a to_o the_o proportion_n of_o these_o two_o number_n that_o be_v as_o 8_o to_z 6_o or_o 4_o to_o 3._o so_o they_o ought_v to_o have_v part_v the_o yearly_a rent_n also_o all_o the_o time_n they_o receive_v it_o that_o be_v a._n aught_o to_o have_v 400_o l._n yearly_o and_o b._n 300_o l._n example_n 2._o a._n b._n and_o c._n join_v their_o money_n to_o make_v a_o stock_n of_o 25000_o l._n of_o which_o a._n lay_v in_o 10000_o l._n b._n 8000_o l._n and_o c._n put_v in_o 7000_o l._n with_o this_o after_o a_o certain_a time_n in_o trade_n they_o gain_v 7500_o l._n how_o must_v this_o be_v part_v first_o for_o a._n say_v if_o 25000_o gain_n 7500_o what_o 10000_o or_o short_a if_o 25_o get_v ½_n what_o 10_o multiply_v 7½_n by_o 10_o it_o produce_v 75_o which_o divide_v by_o 25_o the_o quotient_n be_v ●_o that_o be_v restore_v the_o 3_o cipher_n 3000_o l._n for_o a._n then_o for_o b._n say_v if_o 25000_o gain_n 7500_o what_o 8000_o or_o short_a if_o 250_o get_v 75_o what_o 80._o multiply_v and_o divide_v as_o the_o golden_a rule_n require_v and_o to_o the_o quotient_a restore_v the_o 2_o cipher_n than_o it_o will_v be_v 2400_o l._n for_o b._n last_o for_o c._n say_v if_o 250_o give_v 75_o what_o 70_o answer_v 21_o to_o which_o put_v the_o 2_o cipher_n it_o make_v 2100_o for_o c._n and_o these_o three_o 3000_o 2400_o and_o 2100_o be_v add_v together_o make_v 7500._o and_o have_v that_o proportion_n as_o the_o particular_a stock_n have_v and_o therefore_o the_o work_n be_v right_a ay_o for_o a._n two_o for_o b._n iii_o for_o c._n and_o if_o instead_o of_o gain_v 7500_o l._n whereby_o every_o one_o be_v suppose_v to_o have_v his_o stock_n and_o a_o part_n of_o the_o gain_n they_o have_v 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the_o scale_n here_o to_o be_v describe_v be_v in_o number_n eight_o as_o have_v be_v already_o show_v and_o as_o by_o the_o figure_n of_o they_o appear_v now_o numeration_n upon_o a_o scale_n be_v to_o find_v upon_o what_o part_n of_o the_o scale_n any_o number_n upon_o the_o same_o scale_n will_v fall_v we_o will_v begin_v with_o the_o first_o and_o so_o proceed_v till_o we_o have_v give_v a_o example_n in_o every_o one_o 1_o the_o first_o scale_n be_v of_o english_a money_n and_o be_v divide_v into_o 24_o equal_a part_n which_o represent_v 24_o penny_n or_o 2_o shilling_n these_o part_n be_v number_v with_o arithmetical_a figure_n from_o the_o begin_n thereof_o by_o 1_o 2_o 3_o 4_o 5_o etc._n etc._n to_o 24_o each_o division_n represent_v one_o penny_n and_o the_o whole_a 24_o division_n represent_v 24_o penny_n or_o 2_o shilling_n so_o that_o where_o the_o figure_n 1_o stand_v that_o part_n of_o the_o scale_n represent_v one_o penny_n where_o the_o figure_n 2_o stand_v it_o represent_v two_o penny_n where_o the_o figure_n 18_o stand_v it_o represent_v 18_o penny_n or_o one_o shilling_n six_o penny_n and_o so_o of_o any_o other_o figure_n of_o the_o same_o seal_n then_o because_o there_o be_v four_o farthing_n contain_v in_o a_o penny_n each_o of_o these_o penny_n or_o division_n be_v subdivide_v into_o 4_o other_o equal_a part_n by_o short_a line_n every_o one_o of_o these_o represent_v one_o farthing_n so_o be_v the_o whole_a scale_n divide_v in_o all_o in_o 96_o equal_a part_n which_o be_v the_o number_n of_o farthing_n contain_v in_o two_o shilling_n this_o if_o you_o look_v into_o the_o scale_n of_o money_n for_o 8_o penny_n 3_o farthing_n you_o shall_v find_v it_o at_o the_o letter_n a_o which_o letter_n be_v here_o put_v only_o for_o example_n sake_n also_o if_o you_o will_v find_v in_o the_o scale_n the_o place_n of_o 18_o d._n half_a penny_n you_o shall_v find_v it_o at_o c_o and_o thus_o may_v you_o find_v the_o place_n of_o any_o number_n of_o penny_n and_o farthing_n under_o two_o shilling_n upon_o the_o scale_n unto_o this_o scale_n of_o money_n as_o to_o all_o the_o rest_n of_o the_o scale_n there_o be_v join_v another_o scale_n which_o i_o shall_v always_o hereafter_o call_v the_o scale_n of_o 1000_o the_o use_n of_o which_o scale_n be_v this_o when_o you_o have_v find_v any_o number_n of_o penny_n or_o farthing_n upon_o the_o scale_n of_o money_n you_o shall_v find_v upon_o the_o scale_n of_o 1000_o what_o part_n of_o a_o thousand_o be_v the_o decimal_n of_o those_o penny_n and_o farthing_n thus_o when_o in_o the_o scale_n of_o money_n you_o find_v at_o the_o letter_n a_o 8_o penny_n 3_o farthing_n if_o you_o cast_v your_o eye_n direct_o cross_v to_o the_o scale_n of_o 1000_o you_o shall_v find_v 364_o to_o stand_v direct_o against_o 8_o d._n 3_o q._n which_o 364_o be_v the_o decimal_n of_o 8_o d._n 3_o q._n also_o if_o you_o find_v upon_o the_o scale_n of_o money_n 18_o d._n half_a penny_n which_o be_v at_o the_o letter_n c_o you_o shall_v find_v against_o it_o in_o the_o scale_n of_o 1000_o this_o number_n 771_o which_o be_v the_o decimal_n of_o 18_o d._n half_a penny_n and_o in_o this_o manner_n may_v the_o decimal_n of_o any_o number_n of_o penny_n or_o farthing_n under_o two_o shilling_n be_v most_o easy_o and_o exact_o obtain_v now_o on_o the_o contrary_a suppose_v a_o decimal_n fraction_n be_v give_v represent_v some_o part_n of_o english_a coin_n if_o you_o look_v in_o the_o scale_n of_o 1000_o for_o your_o number_n give_v right_o against_o it_o in_o the_o scale_n of_o money_n you_o shall_v find_v what_o number_n of_o penny_n and_o farthing_n be_v represent_v thereby_o as_o for_o example_n suppose_v .364_o be_v a_o decimal_n give_v and_o it_o be_v require_v to_o find_v what_o part_n of_o coin_n it_o do_v represent_v look_v
direct_v as_o they_o be_v here_o give_v they_o will_v stand_v thus_o 6_o s._n 8_o d._n 1_o s._n 10_o d._n 100_o li._n but_o be_v take_v out_o of_o your_o scale_n and_o place_v they_o will_v stand_v as_o follow_v your_o number_n be_v place_v multiply_v 425_o which_o be_v the_o decimal_n of_o 1_o s._n 10_o d._n by_o 100_o li._n and_o the_o product_n be_v 42500_o to_o which_o i_o add_v two_o cipher_n that_o i_o may_v have_v a_o competent_a number_n of_o figure_n in_o the_o quotient_a and_o it_o make_v 42500●0_n which_o divide_v by_o .3333_o the_o decimal_n of_o 6_o s._n 8_o d._n give_v in_o quotient_n 127.5_o which_o be_v 127_o li._n 5_o liver_n or_o 10_o s._n so_o there_o be_v 27_o li._n 10_o s._n gain_v in_o lay_v out_o of_o 100_o l._n i_o will_v here_o prove_v this_o question_n by_o the_o converse_n if_o one_o yard_n of_o stuffe_n which_o be_v sell_v for_o 8_o s._n 6_o d._n there_o be_v gain_v 27_o li._n 10_o s._n in_o lay_v out_o of_o 100_o li._n i_o demand_v what_o the_o say_a stuff_n cost_v a_o yard_n at_o the_o first_o hand_n add_v 100_o li._n and_o 27_o li._n 10_o s._n together_o and_o they_o make_v 127_o li._n 10_o s._n then_o say_v by_o the_o rule_n of_o three_o direct_v if_o 1_o 27_o li._n 10_o s._n give_v 100_o l._n what_o shall_v 8_o s._n 6_o d._n give_v take_v your_o number_n out_o of_o your_o scale_n and_o place_v they_o as_o here_o you_o see_v here_o if_o you_o multiply_v 425_o which_o be_v the_o decimal_n of_o 8_o s._n 6_o d._n by_o 100_o you_o shall_v have_v 42500_o to_o which_o if_o you_o add_v a_o cypher_n you_o make_v it_o 425000_o this_o number_n be_v divide_v by_o 127.5_o which_o be_v the_o decimal_n of_o 127_o l._n 10_o s_o give_v in_o the_o quotient_a 3333_o and_o if_o you_o have_v add_v more_o cipher_n to_o the_o dividend_n you_o shall_v have_v have_v more_o three_o in_o the_o quotient_a and_o no_o other_o figure_n but_o these_o four_o three_o be_v enough_o and_o be_v a_o decimal_n fraction_n represent_v 6_o s._n 8_o d._n and_o so_o much_o do_v the_o yard_n of_o stuffe_n cost_n at_o the_o first_o hand_n example_n in_o loss_n and_o gain_n upon_o time_n wrought_v by_o the_o double_a rule_n of_o three_o if_o one_o ell_n of_o lockeram_fw-la cost_v i_o 2_o s._n 8_o d._n ready_a money_n and_o i_o sell_v the_o same_o again_o for_o 2_o s._n 10_o d._n the_o ell_n to_o be_v pay_v at_o the_o expiration_n of_o three_o month_n i_o demand_v what_o i_o shall_v gain_v in_o 12_o month_n lay_v out_o 100_o l._n upon_o that_o commodity_n this_o and_o such_o like_a question_n although_o they_o may_v be_v wrought_v by_o the_o rule_n of_o three_o direct_v at_o two_o operation_n yet_o they_o be_v best_a perform_v by_o the_o double_a rule_n of_o three_o compound_v of_o five_o number_n wherefore_o the_o question_n may_v be_v thus_o state_v if_o 2_o s._n 8_o d._n in_o three_o month_n gain_v 2_o d._n what_o shall_v 100_o l._n gain_n in_o 11_o month_n if_o you_o take_v your_o number_n out_o of_o your_o scale_n and_o place_v they_o according_a as_o be_v direct_v in_o the_o first_o part_n of_o this_o book_n you_o shall_v find_v they_o to_o stand_v thus_o your_o number_n be_v place_v according_a to_o the_o tenor_n of_o the_o question_n if_o you_o multiply_v 1.333_o which_o be_v the_o decimal_n of_o 2_o s._n 8_o d._n by_o 3_o month_n the_o product_n will_v be_v 3999_o which_o must_v be_v your_o divisor_n then_o multiply_v .83_o which_o be_v the_o decimal_n of_o 2_o d._n by_o 100_o l._n and_o it_o make_v 8300_o that_o again_o multiply_v by_o 12_o month_n give_v for_o the_o product_n 99600_o for_o your_o dividend_n wherefore_o if_o you_o divide_v 99600_o by_o 3999_o it_o will_v give_v you_o in_o the_o quotient_a 25_o almost_o which_o be_v 25_o li._n for_o the_o decimal_n fraction_n remain_v be_v so_o small_a that_o it_o want_v not_o near_o a_o farthing_n of_o 25_o li._n and_o therefore_o we_o call_v it_o 25_o li_n and_o so_o it_o be_v exact_o as_o you_o may_v try_v if_o you_o reduce_v all_o the_o number_n to_o their_o least_o denomination_n and_o work_v as_o be_v before_o teach_v in_o vulgar_a arithmetic_n i_o will_v prove_v this_o question_n by_o the_o converse_n if_o one_o ell_n of_o lockerum_n cost_v i_o 2_o s._n 8_o d._n ready_a money_n for_o what_o price_n shall_v i_o sell_v the_o same_o again_o to_o be_v pay_v at_o the_o end_n of_o three_o month_n so_o that_o i_o may_v gain_v 25_o li._n in_o 100_o li._n for_o 12_o month_n say_v by_o the_o rule_n of_o three_o direct_v if_o 100_o li._n in_o 12_o month_n gain_n 25_o li._n what_o shall_v 2_o s._n 8_o d._n gain_n in_o 3_o month_n if_o you_o take_v your_o number_n out_o of_o your_o scale_n and_o place_v they_o according_a to_o the_o double_a rule_n of_o three_o they_o will_v stand_v as_o follow_v your_o number_n be_v thus_o place_v if_o you_o multiply_v 100_o li._n by_o 12_o month_n you_o shall_v find_v the_o product_n to_o be_v 1200_o which_o be_v your_o divisor_n then_o multiply_v 25_o li._n by_o 1.333_o which_o be_v the_o decimal_n of_o 2_o s._n 8_o d._n and_o the_o product_n thereof_o will_v be_v 33325_o which_o multiply_v again_o by_o 3_o and_o the_o product_n will_v be_v 99975_o for_o your_o dividend_n this_o 99975_o divide_v by_o 1200_o give_v in_o the_o quotient_a 83_o which_o be_v the_o decimal_n of_o 2_o do_v which_o 2_o d._n add_v to_o 2_o s._n 8_o d._n the_o price_n which_o the_o ell_n of_o lockeram_fw-la cost_n give_v 2_o s._n 10_o d._n and_o at_o that_o price_n must_v you_o sell_v the_o same_o at_o 3_o month_n time_n so_o that_o you_o may_v gain_v 25_o l._n in_o the_o 100_o li._n in_o 12_o moneth●_n i_o may_v further_o proceed_v to_o show_v you_o example_n in_o divers_a other_o rule_n as_o in_o alligation_n position_n etc._n etc._n but_o those_o rule_n be_v already_o handle_v in_o the_o first_o part_n of_o this_o book_n it_o will_v be_v easy_a to_o apply_v they_o to_o the_o scale_n and_o as_o i_o intimate_v at_o the_o begin_n of_o this_o three_o part_n that_o although_o i_o have_v only_o make_v choice_n of_o the_o eight_o scale_n there_o mention_v and_o describe_v yet_o it_o be_v easy_a to_o contrive_v scale_n for_o the_o coin_n weight_n and_o measure_n of_o other_o country_n and_o not_o only_o so_o but_o when_o the_o value_n of_o the_o money_n weight_n or_o measure_n of_o one_o country_n and_o the_o money_n weight_n or_o measure_n of_o another_o country_n be_v know_v it_o be_v easy_a to_o contrive_v two_o scale_n which_o face_v one_o another_o shall_v immediate_o tell_v you_o how_o many_o pound_n in_o one_o place_n shall_v be_v equal_a to_o so_o many_o crown_n or_o other_o coin_n in_o another_o place_n but_o this_o i_o do_v only_o intimate_v that_o such_o as_o be_v desirous_a may_v fit_v themselves_o with_o scale_n answerable_a to_o their_o most_o necessary_a occasion_n and_o thus_o shall_v i_o conclude_v this_o three_o part_n refer_v some_o thing_n necessary_a to_o such_o a_o work_n to_o the_o appendix_n follow_v a_o appendix_n section_n 1._o of_o exchange_n of_o the_o coin_n weight_n and_o measure_n of_o one_o country_n with_o the_o goins_n weight_n and_o measure_n of_o another_o country_n to_o perform_v this_o work_n there_o be_v nothing_o require_v more_o than_o the_o golden_a rule_n if_o first_o the_o rate_n or_o proportion_n between_o the_o coin_n weight_n and_o measure_n of_o any_o two_o country_n be_v know_v which_o be_v best_a obtain_v by_o experience_n rather_o than_o take_v upon_o trust_n all_o that_o in_o this_o place_n i_o shall_v do_v be_v only_o to_o instruct_v the_o ingenious_a in_o the_o manner_n of_o work_n and_o make_v use_n of_o such_o rate_n or_o proportion_n as_o i_o find_v set_v down_o by_o mr._n lewis_n robert_n merchant_n in_o his_o map_n of_o commerce_n question_v 1_o how_o many_o rider_n each_o rider_n contain_v 1_v l._n 1_o s._n 2_o d._n 2_o q._n sterling_a shall_v i_o receive_v for_o 251_o l._n 6_o s._n 4_o d._n 2_o q._n sterling_n facit_fw-la 237_o rider_n if_o 1_o l._n 1_o s._n 2½_n d._n give_v 1_o rider_n how_o many_o rider_n shall_v 251_o li._n 6_o s._n 4½_n d._n give_v here_o if_o you_o reduce_v your_o number_n to_o their_o least_o denomination_n or_o set_v they_o down_o in_o decimal_n and_o multiply_v and_o divide_v according_a to_o the_o golden_a rule_n you_o shall_v find_v in_o your_o quotient_a 237_o and_o so_o many_o rider_n ought_v to_o be_v receive_v for_o 251_o l._n 6_o s._n 4_o d._n 2_o q._n sterling_n question_n 2._o how_o many_o french_a crown_n each_o french_a crown_n be_v value_v at_o 6_o s._n sterling_a shall_v i_o receive_v for_o 492_o l._n 18_o s._n sterling_n facit_fw-la
arithmetic_n vulgar_a decimal_n instrumental_a algebraical_a in_o four_o part_n contain_v i_o vulgar_a arithmetic_n both_o in_o whole_a number_n and_o fraction_n in_o a_o most_o plain_a and_o easy_a method_n two_o decimal_n arithmetic_n with_o the_o ground_n and_o reason_n thereof_o illustrate_v by_o divers_a example_n iii_o instrumental_a arithmetic_n exact_o perform_v all_o question_n of_o what_o nature_n soever_o in_o a_o decimal_n way_n by_o scale_n with_o much_o more_o ease_n and_o facility_n than_o can_v be_v effect_v either_o by_o vulgar_a or_o decimal_a arithmetic_n the_o work_n of_o reduction_n be_v whole_o avoid_v nothing_o in_o this_o kind_n have_v be_v hitherto_o publish_v by_o any_o iv_o algebraical_a arithmetic_n contain_v a_o abridgement_n of_o the_o precept_n of_o that_o art_n and_o the_o use_n thereof_o illustrate_v by_o example_n and_o question_n of_o divers_a kind_n whereunto_o be_v add_v the_o construction_n and_o use_n of_o several_a table_n of_o interest_n and_o annuity_n weight_n and_o measure_n both_o of_o our_o own_o and_o other_o country_n by_o william_n leybourn_n london_n print_v by_o r._n and_o w._n leybourn_n and_o be_v to_o be_v sell_v by_o george_n sawbridge_n at_o the_o bible_n on_o ludgate-hill_n 1660._o vera_fw-la effigy_n gulielmi_n leybourn_n philom_o to_o the_o reader_n here_o be_v present_v unto_o thou_o a_o short_a treatise_n of_o arithmetic_n i_o confess_v there_o be_v enough_o if_o not_o too_o many_o already_o extant_a notwithstanding_o i_o have_v adventure_v to_o publish_v this_o more_o for_o variety_n than_o necessity_n not_o doubt_v but_o in_o the_o perusal_n thereof_o thou_o shall_v find_v something_o in_o this_o worth_a thy_o labour_n and_o what_o in_o other_o book_n of_o this_o kind_n be_v want_v the_o whole_a treatise_n be_v divide_v into_o four_o part_n the_o first_o contain_v vulgar_a arithmetic_n in_o whole_a number_n and_o fraction_n and_o in_o every_o rule_n there_o be_v example_n for_o practice_n add_v and_o question_n also_o wrought_v by_o those_o single_a rule_n and_o in_o division_n which_o be_v the_o most_o difficult_a of_o the_o four_o species_n there_o be_v five_o variety_n so_o that_o every_o man_n may_v make_v use_n of_o that_o which_o he_o best_o understand_v or_o fancy_n and_o in_o the_o work_n of_o the_o golden_a rule_n etc._n etc._n i_o have_v make_v use_n sometime_o of_o one_o kind_n of_o division_n and_o sometime_o of_o another_o the_o second_o part_n contain_v decimal_a arithmetic_n with_o the_o ground_n and_o reason_n thereof_o also_o table_n of_o the_o money_n weight_n and_o measure_v use_v in_o england_n with_o direction_n for_o the_o make_n of_o those_o table_n and_o of_o any_o other_o and_o last_o there_o be_v example_n wrought_v in_o decimal_a number_n in_o all_o the_o most_o usual_a rule_n of_o arithmetic_n and_o those_o example_n be_v encumber_v with_o as_o many_o fraction_n as_o can_v possible_o happen_v in_o any_o question_n concern_v buy_v or_o sell_v the_o 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be_v two_o shilling_n fer●_n which_o shall_v be_v two_o shilling_n exact_a but_o it_o want_v somewhat_o viz._n the_o 1000_o part_n of_o a_o farthing_n which_o be_v insensible_a for_o if_o by_o the_o forementioned_a rule_v you_o seek_v the_o value_n of_o the_o decimal_n fraction_n .0999_o you_o shall_v find_v it_o to_o be_v 1_o shilling_n 11_o penny_n 3_o farthing_n and_o the_o 2_o 1000_o part_n of_o a_o farthing_n which_o you_o may_v call_v in_o all_o 2_o shilling_n for_o decimal_a number_n will_v seldom_o happen_v to_o give_v the_o exact_a value_n of_o fraction_n but_o will_v be_v either_o great_a or_o lesser_a than_o they_o ought_v to_o be_v but_o in_o such_o a_o sum_n as_o this_o be_v the_o thousand_o part_n of_o a_o farthing_n be_v not_o to_o be_v regard_v example_n 2._o let_v it_o be_v require_v to_o add_v together_o in_o a_o decimal_n way_n these_o sum_n follow_v viz._n 29_o li._n 18_o s._n 7_o d._n 3_o q._n 63_o li._n 11_o s._n 2_o d._n 1_o q._n 129_o li._n 4_o s._n 0_o d._n 2_o 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1_o shilling_n 8_o penny_n 3_o farthing_n so_o the_o whole_a sum_n be_v 226_o li._n 1_o s._n 8_o d._n 3_o q._n and_o here_o note_v that_o what_o have_v be_v say_v as_o concern_v money_n the_o same_o be_v also_o to_o be_v understand_v of_o weight_n measure_n time_n etc._n etc._n as_o by_o the_o follow_a example_n will_v appear_v other_o example_n for_o practice_n example_n 1._o in_o money_n 135.8833_o 95.5583_o 3.2875_o 234.7291_o 234_o li._n 14_o s._n 7_o d._n example_n 2._o in_o troy_n weight_n 7.97413_o 6.65330_o 3.62187_o 18.24930_o 18_o li._n 2_o ou_fw-fr 19_o p.w._n 20_o gr_n example_n 3._o in_o averdupois_n little_a w._n 12.7227_o 76.3594_o 32.625_o 91.4883_o 32.8398_o 246.0352_o 246_o li._n 00_o owned_a 9_o d_z example_n 4._o in_o averdup_n great_a weight_n 37.9442_o 9.3053_o 33.6786_o 10.0000_o 12.8142_o 103.7423_o 103_o c._n 2_o q._n 27_o l._n 3_o ow_v subtraction_n of_o decimal_n the_o subtraction_n of_o decimal_n differ_v nothing_o from_o the_o subtract_v of_o one_o whole_a number_n from_o another_o and_o the_o decimal_a number_n to_o be_v subtract_v one_o from_o another_o must_v be_v place_v in_o the_o same_o order_n as_o in_o addition_n of_o decimal_a number_n the_o practice_n of_o subtaction_n shall_v be_v see_v in_o the_o follow_a example_n example_n 1._o let_v it_o be_v require_v to_o subtract_v 31_o li._n 16_o s._n 9_o d._n out_o of_o 36_o li._n 2_o s._n 8_o d._n first_o for_o your_o 36_o li._n 2_o s._n 8_o d._n set_v down_o the_o decimal_n thereof_o which_o be_v 36.1333_o second_o for_o your_o 31_o li._n 16_o s._n 9_o d._n set_v down_o the_o decimal_n thereof_o 31.8375_o this_o do_v draw_v a_o line_n under_o they_o 36_o 1333_o 31_o 8●75_n 4_o 2958_o &_o subtract_v the_o lesser_a from_o the_o great_a you_o shall_v find_v the_o remainder_n to_o be_v 4._o 2958._o the_o 4_o on_o the_o left_a side_n of_o the_o comma_n be_v four_o pound_n and_o the_o 2958_o which_o stand_v towards_o the_o right_a hand_n be_v the_o fraction_n part_n of_o a_o pound_n the_o value_n whereof_o be_v seek_v will_v be_v find_v to_o be_v 5_o s._n and_o 11_o penny_n so_o that_o if_o you_o subtract_v 31_o li._n 16_o s._n 9_o d._n out_o of_o 36_o li._n 2_o s._n 8_o d._n there_o will_v remain_v 4_o li._n 5_o s._n 1●_n d._n but_o if_o divers_a sum_n be_v to_o be_v subtract_v out_o of_o one_o great_a sum_n than_o you_o must_v first_o add_v all_o the_o several_a small_a sum_n together_o and_o subtract_v the_o sum_n of_o they_o from_o the_o great_a give_v sum_n so_o shall_v the_o residue_n be_v the_o sum_n desire_v example_n for_o practice_n example_n 1._o in_o money_n lent_n 2684.8375_o pay_v at_o several_a time_n 36.1333_o  _fw-fr 29.0083_o  _fw-fr 31.8375_o  _fw-fr 6.1208_o pay_v in_o all_o 103.0999_o rest_n to_o pay_v 2581.7376_o 2581_o li._n 14_o s._n 9_o d._n example_n 2._o  _fw-fr  _fw-fr in_o averdupois_n great_a weight_n buy_v  _fw-fr 103.7423_o sold_n  _fw-fr 37.0442_o unsold_a  _fw-fr 65.7981_o 65_o c._n 3_o q._n 5_o l._n 7._o owned_a example_n 3._o  _fw-fr in_o troy_n weight_n deliver_v to_o a_o goldsmith_n of_o old_a plate_n 7._o 97413_o receive_v of_o new_a plate_n 5.59670_o rest_n in_o the_o goldsmith_n hand_n 2.7743_o 2_o li._n 4_o owned_a 10_o p_o w._n 14_o gr_n multiplication_n of_o decimal_n multiplication_n of_o decimal_n differ_v nothing_o at_o all_o from_o the_o multiplication_n of_o whole_a number_n for_o make_v the_o great_a number_n the_o multiplicand_a and_o the_o lesser_a number_n the_o multiplyer_n the_o number_n issue_v from_o that_o multiplication_n shall_v be_v call_v the_o product_n now_o in_o the_o multiplication_n of_o decimal_a number_n one_o by_o another_o if_o there_o be_v any_o fraction_n either_o in_o the_o multiplicand_a or_o multiply_o or_o fraction_n in_o both_o so_o many_o figure_n as_o the_o fraction_n contain_v so_o many_o figure_n must_v be_v cut_v off_o from_o the_o product_n towards_o the_o right_a hand_n which_o shall_v be_v the_o fraction_n of_o the_o product_n and_o the_o figure_n towards_o the_o left_a hand_n of_o the_o comma_n in_o the_o product_n shall_v be_v the_o integer_n of_o the_o product_n example_n 1._o let_v it_o be_v require_v to_o multiply_v 34_o pound_n five_o shilling_n three_o penny_n by_o 16_o pound_n six_o shilling_n six_o penny_n first_o seek_v the_o decimal_n of_o 34_o li._n 5_o s._n 3_o d._n which_o you_o shall_v find_v to_o be_v 34._o 2625_o make_v this_o number_n your_o multiplicand_n then_o seek_v the_o decimal_n of_o 16_o li._n 6_o s._n 6_o d._n which_o you_o shall_v find_v to_o be_v 16._o 325_o make_v this_o decimal_n number_v your_o multiplyer_n then_o draw_v a_o line_n and_o multiply_v these_o two_o number_n together_o as_o if_o they_o be_v whole_a number_n and_o you_o shall_v find_v the_o product_n of_o they_o to_o be_v 559._o 3353125._o now_o because_o there_o be_v four_o figure_n in_o the_o multiplicand_a which_o be_v fraction_n namely_o these_o four_o towards_o the_o right_a hand_n viz._n 2625_o and_o there_o be_v also_o three_o figure_n in_o the_o multiplyer_n which_o be_v fraction_n namely_o these_o three_o towards_o the_o right_a hand_n viz._n 325_o that_o be_v in_o all_o seven_o figure_n represent_v fraction_n i_o therefore_o cut_v off_o from_o the_o product_n the_o seven_o figure_n towards_o the_o right_a hand_n by_o make_v of_o a_o comma_n there_o to_o distinguish_v the_o whole_a number_n from_o the_o fraction_n so_o be_v 559_o the_o integer_fw-la or_o whole_a number_n and_o 3353125_o the_o fraction_n of_o this_o multiplication_n example_n 2._o if_o there_o be_v fraction_n in_o the_o multiplicand_a and_o none_o in_o the_o multiplyer_n yet_o that_o work_n be_v still_o the_o same_o for_o you_o must_v cut_v off_o only_o so_o many_o figure_n from_o the_o product_n as_o there_o be_v fraction_n either_o in_o multiplicand_a multiplyer_n or_o both_o so_o if_o it_o be_v require_v to_o multiply_v 5767_o yard_n and_o 3_o quarter_n of_o a_o yard_n by_o 235_o yard_n you_o must_v first_o set_v down_o 5767._o 75_o for_o your_o 5767_o yard_n and_o three_o quarter_n which_o number_n must_v be_v your_o multiplicand_a also_o set_v down_o 235_o yard_n for_o your_o multiplyer_n then_o multiply_v they_o together_o as_o if_o they_o be_v whole_a number_n you_o shall_v find_v the_o product_n to_o be_v 1255421_o 25_o and_o because_o there_o be_v only_o two_o fraction_n figure_n both_o which_o be_v in_o the_o multiplicand_a namely_o the_o two_o last_o thereof_o .75_o and_o none_o in_o the_o multiplyer_n i_o therefore_o cut_v off_o only_o two_o figure_n of_o the_o product_n namely_o the_o two_o last_o which_o be_v .25_o so_o be_v the_o product_n of_o this_o multiplication_n 1355421._o 25_o which_o be_v 1355421_o square_a yard_n and_o one_o quarter_n of_o a_o yard_n and_o
place_n the_o dividend_n be_v the_o lesser_a term_n place_v the_o dividend_n as_o a_o numerator_n and_o the_o divisor_n as_o '_o denominator_fw-la so_o be_v such_o vulgar_a fraction_n the_o quotient_a fight_v but_o if_o the_o term_n give_v consist_v not_o of_o equal_a place_n supply_v the_o place_n or_o place_n want_v in_o either_o of_o the_o term_n by_o annex_v a_o cypher_n or_o cipher_n on_o the_o right_a hand_n and_o then_o proceed_v as_o before_o thus_o if_o .27_o be_v give_v to_o be_v divide_v by_o .93_o the_o quotient_n will_v be_v 27_o 93._o also_o if_o .35_o be_v give_v to_o be_v divide_v by_o .78563_o the_o quotient_a by_o annex_v 3_o cipher_n to_o .35_o the_o lesser_a decimal_n give_v will_v be_v 35000_o 78563_o which_o vulgar_a fraction_n may_v be_v reduce_v into_o decimal_n if_o need_v be_v by_o the_o first_o proposition_n in_o this_o second_o part_n of_o decimal_a arithmetic_n example_n for_o practice_n the_o rule_n of_o three_o in_o fraction_n vulgar_a and_o decimal_a what_o the_o rule_n of_o three_o be_v and_o the_o manner_n of_o work_v be_v already_o show_v in_o the_o first_o part_n that_o which_o we_o here_o intend_v be_v only_o to_o add_v some_o example_n in_o fraction_n vulgar_a as_o well_o as_o decimal_n that_o by_o compare_v the_o work_n in_o both_o the_o excellent_a use_n of_o decimal_a arithmetic_n may_v the_o better_o appear_v and_o how_o to_o convert_v the_o know_a part_n of_o money_n weight_n or_o measure_v english_a into_o decimal_n have_v be_v already_o show_v both_o arithmetical_o and_o by_o table_n yet_o to_o prevent_v the_o several_a addition_n and_o subtraction_n in_o those_o table_n we_o have_v here_o annex_v another_o decimal_a table_n for_o the_o more_o speedy_a reduction_n of_o english_a money_n under_o two_o shilling_n all_o sum_n of_o money_n above_o not_o have_v penny_n or_o farthing_n annex_v be_v as_o easy_o reduce_v by_o memory_n as_o by_o table_n and_o this_o we_o have_v the_o rather_o do_v because_o the_o same_o table_n will_v also_o reduce_v the_o coin_n of_o france_n and_o the_o part_n of_o troy_n weight_n if_o a_o ounce_n be_v make_v the_o integer_fw-la which_o in_o point_n of_o practice_n be_v much_o more_o useful_a than_o the_o pound_n the_o table_n of_o reduction_n penny_n 001042_o  _fw-fr  _fw-fr 002083_o gr._n 1_o  _fw-fr 003125_o  _fw-fr 1_o 004166_o 2_o  _fw-fr 005208_o  _fw-fr  _fw-fr 006250_o 3_o  _fw-fr 007291_o  _fw-fr 2_o 008333_o 4_o  _fw-fr 009375_o  _fw-fr  _fw-fr 010416_o 5_o  _fw-fr 011458_o  _fw-fr 3_o 012500_o 6_o  _fw-fr 013541_o  _fw-fr  _fw-fr 014582_o 7_o  _fw-fr 015625_o  _fw-fr 4_o 016666_o 8_o  _fw-fr 017708_o  _fw-fr  _fw-fr 018750_o 9_o  _fw-fr 019791_o  _fw-fr 5_o 020833_o 10_o  _fw-fr 021874_o  _fw-fr  _fw-fr 022916_o 11_o  _fw-fr 023958_o  _fw-fr 6_o 025000_o 12_o  _fw-fr 026014_o  _fw-fr  _fw-fr 027083_o 13_o  _fw-fr 028125_o  _fw-fr 7_o 029166_o 14_o  _fw-fr 030208_o  _fw-fr  _fw-fr 031250_o 15_o  _fw-fr 032291_o  _fw-fr 8_o 033333_o 16_o  _fw-fr 034375_o  _fw-fr 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 _fw-fr 080208_o  _fw-fr  _fw-fr 081250_o 15_o  _fw-fr 082921_o  _fw-fr 8_o 083333_o 16_o  _fw-fr 084375_o  _fw-fr  _fw-fr 085416_o 17_o  _fw-fr 086458_o  _fw-fr 9_o 087500_o 18_o  _fw-fr 088541_o  _fw-fr  _fw-fr 089583_o 19_o  _fw-fr 090625_o  _fw-fr 10_o 091666_o 20_o  _fw-fr 092708_o  _fw-fr  _fw-fr 093750_o 21_o  _fw-fr 094791_o  _fw-fr 11_o 095833_o 22_o  _fw-fr 096875_o  _fw-fr  _fw-fr 097916_o 23_o  _fw-fr 098958_o  _fw-fr 12_o 000000_o 24_o these_o thing_n premise_v we_o will_v now_o show_v the_o use_n of_o the_o table_n in_o some_o practical_a question_n belong_v to_o the_o rule_n of_o three_o direct_v 1_o question_n if_o ⅞_n of_o a_o yard_n of_o cloth_n cost_v 9_o 12_o of_o a_o pound_n what_o shall_v 17_o yard_n cost_v at_o the_o same_o rate_n if_o ⅞_n cost_v 9_o 12_o what_o shall_v 17_o cost_n ans_fw-fr 14_o li._n 4_o 7._o first_o multiply_v 9_o 12_o by_o 17_o 1_o the_o product_n be_v 153_o 12_o then_o divide_v 153_o 12_o by_o ⅞_n the_o quotient_n be_v 1224_o 84_o again_o 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number_n of_o year_n under_o 31_o at_o 6_o per_fw-la cent_n interest_n upon_o interest_n the_o annuity_n be_v to_o be_v pay_v yearly_o y._n 6_o per_fw-la cent_n 1_o 1,00000_o 2_o 2,06000_o 3_o 3,18360_o 4_o 4,37461_o 5_o 5,63709_o 6_o 6,97531_o 7_o 8,39383_o 8_o 9,89746_o 9_o 11,49131_o 10_o 13,18079_o 11_o 14,97164_o 12_o 16,86994_o 13_o 18,88213_o 14_o 21,01506_o 15_o 23,27596_o 16_o 25,67252_o 17_o 28,21287_o 18_o 30,90565_o 19_o 33,75999_o 20_o 36,78559_o 21_o 39,99272_o 22_o 43,39228_o 23_o 46,99582_o 24_o 50,81557_o 25_o 54,86451_o 26_o 59,15638_o 27_o 63,70576_o 28_o 68,52810_o 29_o 73,63979_o 30_o 79,05818_o the_o use_n of_o this_o table_n what_o will_v a_o annuity_n of_o 20_o li._n payable_a yearly_a be_v augment_v unto_o in_o 12_o year_n be_v all_o that_o time_n forbear_v account_v interest_n upon_o interest_n at_o 6_o per_fw-la cent_n per_fw-la annum_fw-la look_v in_o the_o first_o column_n of_o the_o table_n for_o 12_o year_n and_o right_a against_o it_o in_o the_o next_o 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,468839_o 14_o ,442300_o 15_o ,417263_o 16_o ,393646_o 17_o ,370364_o 18_o ,351343_o 19_o ,330512_o 20_o ,311804_o 21_o ,294155_o 22_o ,277505_o 23_o ,261797_o 24_o ,246978_o 25_o ,232998_o 26_o ,219810_o 27_o ,207367_o 28_o ,195630_o 29_o ,184536_o 30_o ,174110_o the_o make_n of_o the_o table_n as_o 106_o 100_o .943396_o 889996_o and_o again_o as_o 106_o 100_o .889996_o 839619_o et_fw-la sic_fw-la ad_fw-la infinitum_fw-la if_o 356_o l._n be_v payable_a at_o the_o end_n of_o 7_o year_n what_o be_v it_o worth_a in_o ready_a money_n discount_v or_o rebate_n after_o the_o rate_n of_o 6_o per_fw-la cent_n interest_n upon_o interest_n look_v in_o the_o table_n for_o 7_o year_n and_o against_o it_o you_o shall_v find_v .665057_o be_v the_o ready_a money_n which_o 1_o l._n be_v worth_a payable_a at_o 7_o year_n end_n wherefore_o say_v by_o the_o rule_n of_o three_o if_o 1_o l._n in_o 7_o year_n rebate_v or_o decrease_v to_o .665057_o to_o what_o will_v 356_o l._n rebate_v or_o decrease_v in_o the_o same_o time_n answer_v to_o 170_o l._n 5_o s._n 1_o d._n as_o by_o the_o operation_n do_v appear_v the_o four_o table_n show_v the_o present_a worth_n of_o one_o pound_n annuity_n to_o continue_v any_o number_n of_o year_n under_o 31_o and_o payable_a yearly_a after_o the_o rate_n of_o 6_o per_fw-la cent_n interest_n upon_o inter_v y._n 6_o per_fw-la cent_n 1_o 0,94339_o 2_o 1,83339_o 3_o 2,67301_o 4_o 3,46510_o 5_o 4,21236_o 6_o 4,91732_o 7_o 5,58238_o 8_o 6,20979_o 9_o 6,80169_o 10_o 736008_o 21_o 7,88687_o 22_o 8,38384_o 23_o 8,85268_o 24_o 9,29498_o 25_o 9,71224_o 26_o 10,10589_o 27_o 10,47725_o 28_o 10,82760_o 29_o 11,15811_o 30_o 11,469●2_n 21_o 11,76305_o 22_o 12,04158_o 23_o 12,30337_o 24_o 12,55035_o 25_o 12,78335_o 26_o 13,00316_o 27_o 13,01053_o 28_o 13,40616_o 29_o 13,59071_o 30_o 13,76482_o the_o use_n of_o this_o table_n what_o be_v the_o present_a rent_n or_o annuity_n of_o 25_o pound_n per_fw-la annum_fw-la worth_a payable_a yearly_a for_o 21_o year_n account_v 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